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v^{2} = v_{o}^{2} +2aΔx : Velocity as a function of displacement.

*T=Iα SI unit = N•m*

*T = rF(sin θ)*
*I = *mr^{2} / 2
*I*_{i} ω_{i} = *I*_{f} ω_{f}
temperature increases from 0°C to 4°C, water contracts, so its density increases. Above 4°C, water exhibits the expected expansion with increasing temperature. The density of water reaches its maximum value of 1 000 kg/m3 at 4°C.

Constant acceleration equations

_

v= __v___{0} - v

2

Δx=v_{0} t + 1/2at^{2} : Displacement as a function of time

v=v_{0} +at : Velocity as a function of time

Average Acceleration

_

a=__Δv__ = __v___{f} - v_{i}

Δt t_{f} - t_{i}

Average Velocity

_

v=__Δx__ =__ x___{f} - x_{i}

Δt t_{f} - t_{i}

Adding Vectors Algebraically

A_{x} = A cos (ø) = X(A cos (ø)) B_{x} = B cos (ø) = X(B cos (ø))

A_{y} = A sin (ø) = Y(A sin (ø)) B_{y} = B sin (ø) = Y(B sin (ø))

R_{x} = A_{x} + B_{x} R_{y} = A_{y} + B_{y}

Magnitude and Direction of R

Magnitude of R=sqrt of R_{x}^{2} + R_{y}^{2}

Direction of R: ø=tan^{-1} (__R___{y} )

(R_{x} )

Displacement, average Velocity, average Acceleration of an object

ΔR≡R_{f} - R_{i} V_{avg} ≡ __ΔR__ A_{avg} ≡ __ΔV__

Δt Δt

Work

W=FΔx

SI unit: joule=newton x meter=kg m^{2} /s^{2} and is a scalar quantity

W≡(F cos θ) Δx

Work done by friction

W_{fric} = -μ_{k} mgΔx W_{fric} = -μ_{k} (mg - F_{applied} sinθ)Δx

W_{net} = W_{applied} + W_{friction} + W_{n} + W_{g : N and G are not applied when perpindicular.}

Kinetic Energy

KE=1/2mv^{2} measured in joules and IS A SCALAR

W_{net} =KE_{f} - KE_{i} = ΔKE

Average angular speed

ω_{avg} = __Δθ__ units: radians/second rev/s • __2π rads__

Δt rev

Angular acceleration

a_{avg} = __Δω__ SI unit: radians/second^{2} positive in counterclockwise direction.

Δt

Rotational Motion

ω=ω_{i} + at

Δθ=ω_{i} t + 1/2 at^{2}

ω^{2} = ω_{i}^{2} +2aΔθ

Tangential speed and acceleration

v_{t} = rω

a_{t} = ra

Centripetal Acceleration and total acceleration

a_{c} = __v____2 __ = rω^{2 } a= sqrt:a_{t}^{2} + a_{c}^{2}

r

Newtons Law of universal gravitation

F=G __m___{1}__ m___{2} G=6.673 x 10^{-11} N•m^{2} /kg^{2} r^{2}

_{}

Kepler's Law, eliptical orbits of planets

T^{2} = (4π^{2} / GM_{s} )r^{3} where M_{s} is mass of sun or other central located body.

Torque

Moment of Inertia

Conservation of Angular Momentum

Density

ρ = m / v SI unit: kg/m^{3 } v = π r^{2} h

Pressure

P = F / A SI unit: Pascal; Pa; newtons per square meter

Area of rectangle= length x width

P=P_{o} (atmospheric pressure) + pgh

Bernoullis equation

P + 1/2ρv^{2} + ρgy

Stress and Strain modulus

Stress is related to the force per unit area producing a deformation; strain (dimensionless) is the measure of of the amount of deformation. (elastic modulus) Stress=elastic modulus • strain.__Youngs modulus__: resistance of solid to elongation or compression, *Y.*__Shear modulus__: resistance to displacement of faces of solids sliding past eachother, *S.*__Bulk modulus:__ the resistance of solid or liquid to change in volume, *B.*

Archimede's principle, bouyancy

B=ρ_{fluid}V_{fluid}g

Temperature

T_{c} = 5/9(T_{f} - 32)

T_{k} = T_{c + 273.15}

Thermal Expansion

ΔL= α L_{0} ΔT where α equals the coefficient of linear expansion.

Coefficient of volume expansion

ΔV=βV_{0} ΔT where β equals (3α)

Coefficient of area expansion

ΔA=γA_{0} ΔT where γ equals (2α)

Radiation, Conduction and Convection

The Unusual Behavior of Water

Avogadro’s number

NA= 6. 02x 10 ^23 particles/ mole

ideal gas law

PV= nRT R= 8.3 1 J/ mol • K R = 0.082 1 L • atm / mol • K

1 cal 4. 186 J

Length

kilometer (km) = 1,000 m 1 km = 0.621 mi 1 mi = 1.609 km

meter (m) = 100 cm 1 m = 3.281 ft 1 ft = 0.305 m

centimeter (cm) = 0.01 m 1 cm = 0.394 in. 1 in. = 2.540 cm

millimeter (mm) = 0.001 m 1 mm = 0.039 in.

micrometer (µm) = 0.000 001 m

nanometer (nm) = 0.000 000 001 m

Area

square kilometer (km2

) = 100 hectares 1 km2

= 0.386 mi

2

1 mi

2

= 2.590 km2

hectare (ha) = 10,000 m2

1 ha = 2.471 acres 1 acre = 0.405 ha

square meter (m2

) = 10,000 cm2

1 m2

= 10.765 ft

2

1 ft

2

= 0.093 m2

square centimeter (cm2

) = 100 mm2

1 cm2

= 0.155 in.

2

1 in.

2

= 6.452 cm2

Volume

liter (L) = 1,000 mL = 1 dm3

1 L = 1.057 fl qt 1 fl qt = 0.946 L

milliliter (mL) = 0.001 L = 1 cm3

1 mL = 0.034 fl oz 1 fl oz = 29.575 mL

microliter (µL) = 0.000 001 L

Mass

kilogram (kg) = 1,000 g 1 kg = 2.205 lb 1 lb = 0.454 kg

gram (g) = 1,000 mg 1 g = 0.035 oz 1 oz = 28.349 g

milligram (mg) = 0.001 g

microgram (µg) = 0.000 001 g

About this deck

Author: Kyle D.

Created: 2011-05-12

Updated: 2011-06-23

Size: 34 flashcards

Keywords: flash card flashcards digital flashcards note sharing notes textbook wiki college dorm class classroom exam homework test quiz university college education learn student teachers tutors share, study blue studyblue studyblu

Views: 188

Created: 2011-05-12

Updated: 2011-06-23

Size: 34 flashcards

Keywords: flash card flashcards digital flashcards note sharing notes textbook wiki college dorm class classroom exam homework test quiz university college education learn student teachers tutors share, study blue studyblue studyblu

Views: 188

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